English

Convergence properties of end invariants

Geometric Topology 2012-08-21 v1 Differential Geometry

Abstract

We prove a continuity property for ending invariants of convergent sequences of Kleinian surface groups. We also analyze the bounded curve sets of such groups and show that their projections to non-annular subsurfaces lie a bounded Hausdorff distance from geodesics joining the projections of the ending invariants.

Keywords

Cite

@article{arxiv.1208.3983,
  title  = {Convergence properties of end invariants},
  author = {Jeffrey F. Brock and Kenneth W. Bromberg and Richard D. Canary and Yair N. Minsky},
  journal= {arXiv preprint arXiv:1208.3983},
  year   = {2012}
}

Comments

40 pages